Temple of Sethraliss - Aspix and Adderis will be rough. Aspix’s Static Shock will drop the entire party’s health fairly low on Tyrannical weeks, and Conduction is going to leave someone at low health right before Static Shock goes off. Galvazzt will ramp in difficulty the longer the fight goes on, and if his Consume Charge goes off it will probably kill at least a few people. Avatar of Sethraliss is already a marathon fight, and now Pulse will squeeze healer mana that much more.
Freehold - The Azerite Powdershot from Skycap’n will deal mega damage on Tyrannical, so make sure everyone is topped off before he casts it. Council of Captains has three bosses, one of which will be friendly depending on the week (it rotates each week). If Eudora is one of the two enemy bosses, this fight becomes very dangerous. Eudora’s Grapeshot will heavily punish bad positioning, and the RNG nature of Powdershot means it will inevitably pick the same person two or three times in a row and kill them if they aren’t healed up very quickly. Shark Puncher’s sharks start dealing ridiculous damage on higher keys, and standing next to them for one or two ticks will get you killed. Once both sharks are out, you need to be very diligent about kiting them.
Waycrest Manor - The Triad gets infinitely more dangerous when it’s allowed to use its abilities multiple times, which is almost assured on Tyrannical. Immunities will be a big help on this boss. Goliath will hit the tank extremely hard, and resetting your stacks will do quite a bit of group damage. Lord and Lady Waycrest will also rough up the tank, and Lady Waycrest’s Wracking Chord will do an annoying amount of party damage. Gorak Tul’s adds start to become an issue the longer he lives, so your party will need to stay on top of using the Alchemical Fires at appropriate times throughout the fight.